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Finding the Fourth Proportional to 305,326.50, 421,350.75 and 186,094.50

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Solution

The fourth proportional to 305,326.50, 421,350.75 and 186,094.50 is: 256,810.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,326.50 : 421,350.75 = 186,094.50 : x
  2. Step 2: Convert to fraction form
    305,326.50/421,350.75 = 186,094.50/x
  3. Step 3: Cross multiply
    305,326.50x = 421,350.75 × 186,094.50
  4. Step 4: Simplify right side
    305,326.50x = 78,411,057,145.88
  5. Step 5: Solve for x
    x = 78,411,057,145.88/305,326.50
  6. Step 6: Final answer
    x = 256,810.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.